A probablistic analysis for an optimal screening problem

Summary We consider a lotL formed byN apparently similar unitsW ₁,…,W _N, where each of theW _i may come from one of two different populationsP ₁ andP ₂;T ₁,…,T _N denote the corresponding lifetimes. The units fromP _i undergo a failure of kindi and their survival function isS _i (t). We assume that the failure rate function are known and that the units fromP ₁ are ?substandard?: λ ₁ (t)≥λ ₂ (t), ∀t≥0. We want to putW ₁,…,W _N under a pre-operational test (burn-in test) in order to eliminate at least a great part of the substandard units and we face the problem of obtaining a rule for stopping the test under the assumption that, with the failure of a unit, it is possible to recognize the population from which the unit comes. Such a problem will be formalized as an optimal stopping problem for a suitably defined Markov process. Our study shall evidentiate some fundamental aspects of the problem and the role of the prior distribution of the (random) numberM ₀ of those units inL coming fromP ₁ (substandard). The latter distribution has a great influence on the form of the solution. This research was supported by the C.N.R. Project ?Statistica Bayesiana e Simulazione in Affidalità e Modellistica Biologica?.     

永泰县城区空气中主要污染物类别及其影响因素分析

经监测,永泰县城区大气污染物主要为PMl0、PM2.5、O3,影响O3的因素主要有汽车尾气排放、日照,PMl0、PM2.5浓度大小除与车流量、烟花爆竹燃放相关外,还与降水、风速等气象因素密切关联。针对这些影响因素,该文提出了相应的防治措施。     

Percentile Related Bounds and Estimator for the Mean of the Negative Binomial Distribution

Upper and lower bounds are obtained for the mean of the negative binomial distribution. These bounds are simple functions of a percentile determined by the shape parameter. The result is then used to obtain a robust estimate of the mean when the shape parameter is known.     

Multisim在电子技术实验教学中的应用

通过实例说明了Multisim应用于电子技术实验教学的独特优势.表明由于利用了计算机技术,使得电子技术实验教学更为简捷方便,培养学生提高对实际问题的处理能力的途径也变得更为广泛.     

An omnibus two-sample test for ranked-set sampling data

We develop an omnibus two-sample test for ranked-set sampling (RSS) data. The test statistic is the conditional probability of seeing the observed sequence of ranks in the combined sample, given the observed sequences within the separate samples. We compare the test to existing tests under perfect rankings, finding that it can outperform existing tests in terms of power, particularly when the set size is large. The test does not maintain its level under imperfect rankings. However, one can create a permutation version of the test that is comparable in power to the basic test under perfect rankings and also maintains its level under imperfect rankings. Both tests extend naturally to judgment post-stratification, unbalanced RSS, and even RSS with multiple set sizes. Interestingly, the tests have no simple random sampling analog.     

Rape culture,misogyny, and urban anxiety in NH10 and Pink

One of the most pervasive aspects of Delhi’s post-liberalization psychopathology has been everyday violence against women. The city’s rape culture was given an exceptionally sharp global focus after the horrific gang rape of Jyoti Singh on December 16, 2012. Recent Hindi cinema has begun to engage with some aspects of the capital’s misogynist urban ethos. In this paper, I look at how the Delhi subgenre of the “multiplex film” has engaged with rape culture, misogyny, and urban anxiety through a close textual and discursive analysis of two recent films—NH10 (Navdeep Singh, 2015) and Pink (Aniruddha Roy Chowdhury, 2016). Specifically, I identify how the December 16 “trigger event” and Delhi’s notorious misogyny are finding newer modes of representation through the interplay of genre and exhibition space. In what ways do these films position and imagine the “multiplex viewer”? New engagements with the figure of the consuming middle-class woman and the public discourses that surround her sexual safety and navigation of space have taken a central position in understanding the present urban psychosis of the capital. I suggest that these films and the forms of spectatorial identification that they privilege are intricately linked to the gendered spatial politics of the multiplex.     

Optimum covariate designs in partially balanced incomplete block (PBIB) design set-ups

The use of covariates in block designs is necessary when the covariates cannot be controlled like the blocking factor in the experiment. In this paper, we consider the situation where there is some flexibility for selection in the values of the covariates. The choice of values of the covariates for a given block design attaining minimum variance for estimation of each of the parameters has attracted attention in recent times. Optimum covariate designs in simple set-ups such as completely randomised design (CRD), randomised block design (RBD) and some series of balanced incomplete block design (BIBD) have already been considered. In this paper, optimum covariate designs have been considered for the more complex set-ups of different partially balanced incomplete block (PBIB) designs, which are popular among practitioners. The optimum covariate designs depend much on the methods of construction of the basic PBIB designs. Different combinatorial arrangements and tools such as orthogonal arrays, Hadamard matrices and different kinds of products of matrices viz. Khatri–Rao product, Kronecker product have been conveniently used to construct optimum covariate designs with as many covariates as possible.     

Inference of non-centrality parameter of a truncated non-central chi-squared distribution

Non-central chi-squared distribution plays a vital role in statistical testing procedures. Estimation of the non-centrality parameter provides valuable information for the power calculation of the associated test. We are interested in the statistical inference property of the non-centrality parameter estimate based on one observation (usually a summary statistic) from a truncated chi-squared distribution. This work is motivated by the application of the flexible two-stage design in case–control studies, where the sample size needed for the second stage of a two-stage study can be determined adaptively by the results of the first stage. We first study the moment estimate for the truncated distribution and prove its existence, uniqueness, and inadmissibility and convergence properties. We then define a new class of estimates that includes the moment estimate as a special case. Among this class of estimates, we recommend to use one member that outperforms the moment estimate in a wide range of scenarios. We also present two methods for constructing confidence intervals. Simulation studies are conducted to evaluate the performance of the proposed point and interval estimates.